user
Make an algorithm to identify the longest common subsequence in two strings.
String A: ABCDGH
String B: AEDFHR


assistant
A simple solution to this problem will involve creating a two-dimensional array of size (length of String A + 1) x (length of String B + 1). We then incrementally fill the array with values by iterating over the two strings. At position (i,j) of the array, we store the length of the longest subsequence of String A[0...i] and String B[0...j]. The longest subsequence of the two strings is then the value stored at position (length of String A, length of String B) in the array.